Greatest Common Factor of 2645/216, 2105/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2645/216, 2105/313

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2645/216,2105/313

Given fractions are 2645/216,2105/313

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2645,2105

Greatest Common Factor of Numerators i.e. GCF of 2645,2105 is 5 .

LCM of Denominators means LCM of 216,313 as per the given fractions.

LCM of 216,313 is 67608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2645,2105

GCF of Fractions 2645/216,2105/313 is 5/67608

5 2645, 2105
529, 421

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2645,2105 By Matching Biggest Common Factor Method

Greatest Common Factor of 2645,2105 By Matching Biggest Common Factor Method

Factors of 2645

List of positive integer factors of 2645 that divides 2645 without a remainder.

1,5,23,115,529,2645

Factors of 2105

List of positive integer factors of 2105 that divides 2105 without a remainder.

1,5,421,2105

Greatest Common Factor

We found the factors 2645,2105 . The biggest common factor number is the GCF number.
So the greatest common factor 2645,2105 is 5.

Lets's calculate LCM of 216,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 67608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/67608

Therefore, the GCF of Fractions 2645/216,2105/313 is 5/67608

Least Common Multiple of 216,313 with GCF Formula

Least Common Multiple of 216,313 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 216,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,313) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(216,313) x common factors =1 x 1 = 1

LCM(216,313) = ( 216 × 313 ) / 1

LCM(216,313) = 67608 / 1

LCM(216,313) = 67608


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2645/216, 2105/313

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2645/216, 2105/313?

Answer: GCF of Numerators as per given numbers 2645/216, 2105/313 is

GCF of Numerators i.e. for 2645,2105 is 5

LCM of denominators i.e. for 216,313 is 67608.

Thus, GCF of Fractions is 5/67608.Finally, GCF of Fractions for 2645/216, 2105/313 is 5/67608.